AV-differential geometry: Euler-Lagrange equations

DOI10.1016/j.geomphys.2007.04.003zbMath1132.70008arXivmath/0604130OpenAlexW2018399496WikidataQ115353426 ScholiaQ115353426MaRDI QIDQ2456444

Katarzyna Grabowska, Janusz Grabowski, Paweł Urbański

Publication date: 18 October 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604130

zbMATH Keywords

affine bundlesLie affgebroidstime-dependent Lagrangians

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (5)

Tulczyjew triples in higher derivative field theory ⋮ Lie and Nijenhuis brackets on affine spaces ⋮ Double affine bundles ⋮ Dirac algebroids in Lagrangian and Hamiltonian mechanics ⋮ Geometry of Routh reduction

Cites Work

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• AV-differential geometry: Poisson and Jacobi structures
• Dynamics on Leibniz manifolds
• Determination of a double Lie groupoid by its core diagram
• Lie algebroids and Poisson-Nijenhuis structures
• Lie brackets on affine bundles
• Algebroids -- general differential calculi on vector bundles
• Espaces variationnels et mécanique
• Lie algebroid structures and Lagrangian systems on affine bundles
• Lagrangian submanifolds and dynamics on Lie affgebroids
• AV-differential geometry and Newtonian mechanics
• Non-holonomic Lagrangian and Hamiltonian mechanics: an intrinsic approach
• On the gauge structure of classical mechanics
• Double vector bundles and duality
• Lie algebroid structures on a class of affine bundles
• Lie Algebroids and Lie Pseudoalgebras
• Lagrangian submanifolds and dynamics on Lie algebroids
• THE HAMILTON–JACOBI EQUATION ON LIE AFFGEBROIDS
• Lagrangian mechanics on Lie algebroids

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